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Finding the Fourth Proportional to 602.42, 903.62 and 255.66

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Solution

The fourth proportional to 602.42, 903.62 and 255.66 is: 383.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.42 : 903.62 = 255.66 : x
  2. Step 2: Convert to fraction form
    602.42/903.62 = 255.66/x
  3. Step 3: Cross multiply
    602.42x = 903.62 × 255.66
  4. Step 4: Simplify right side
    602.42x = 231,019.49
  5. Step 5: Solve for x
    x = 231,019.49/602.42
  6. Step 6: Final answer
    x = 383.49

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Double scale
Find fourth proportional to 603.42, 905.12 and 256.66
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.