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Finding the Fourth Proportional to 403.07, 602.03 and 357.71

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Solution

The fourth proportional to 403.07, 602.03 and 357.71 is: 534.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.07 : 602.03 = 357.71 : x
  2. Step 2: Convert to fraction form
    403.07/602.03 = 357.71/x
  3. Step 3: Cross multiply
    403.07x = 602.03 × 357.71
  4. Step 4: Simplify right side
    403.07x = 215,350.04
  5. Step 5: Solve for x
    x = 215,350.04/403.07
  6. Step 6: Final answer
    x = 534.28

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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.