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Finding the Fourth Proportional to 402.62, 555.63 and 284.81

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Solution

The fourth proportional to 402.62, 555.63 and 284.81 is: 393.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.62 : 555.63 = 284.81 : x
  2. Step 2: Convert to fraction form
    402.62/555.63 = 284.81/x
  3. Step 3: Cross multiply
    402.62x = 555.63 × 284.81
  4. Step 4: Simplify right side
    402.62x = 158,245.13
  5. Step 5: Solve for x
    x = 158,245.13/402.62
  6. Step 6: Final answer
    x = 393.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.