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Finding the Fourth Proportional to 602.90, 904.36 and 256.18

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Solution

The fourth proportional to 602.90, 904.36 and 256.18 is: 384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.90 : 904.36 = 256.18 : x
  2. Step 2: Convert to fraction form
    602.90/904.36 = 256.18/x
  3. Step 3: Cross multiply
    602.90x = 904.36 × 256.18
  4. Step 4: Simplify right side
    602.90x = 231,678.94
  5. Step 5: Solve for x
    x = 231,678.94/602.90
  6. Step 6: Final answer
    x = 384.27

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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.