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Finding the Fourth Proportional to 403.02, 601.88 and 341.60

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Solution

The fourth proportional to 403.02, 601.88 and 341.60 is: 510.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.02 : 601.88 = 341.60 : x
  2. Step 2: Convert to fraction form
    403.02/601.88 = 341.60/x
  3. Step 3: Cross multiply
    403.02x = 601.88 × 341.60
  4. Step 4: Simplify right side
    403.02x = 205,597.49
  5. Step 5: Solve for x
    x = 205,597.49/403.02
  6. Step 6: Final answer
    x = 510.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.