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Finding the Fourth Proportional to 400.40, 602.72 and 285.64

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Solution

The fourth proportional to 400.40, 602.72 and 285.64 is: 429.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.40 : 602.72 = 285.64 : x
  2. Step 2: Convert to fraction form
    400.40/602.72 = 285.64/x
  3. Step 3: Cross multiply
    400.40x = 602.72 × 285.64
  4. Step 4: Simplify right side
    400.40x = 172,160.15
  5. Step 5: Solve for x
    x = 172,160.15/400.40
  6. Step 6: Final answer
    x = 429.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.