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Finding the Fourth Proportional to 285.32, 429.77 and 281.54

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Solution

The fourth proportional to 285.32, 429.77 and 281.54 is: 424.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.32 : 429.77 = 281.54 : x
  2. Step 2: Convert to fraction form
    285.32/429.77 = 281.54/x
  3. Step 3: Cross multiply
    285.32x = 429.77 × 281.54
  4. Step 4: Simplify right side
    285.32x = 120,997.45
  5. Step 5: Solve for x
    x = 120,997.45/285.32
  6. Step 6: Final answer
    x = 424.08

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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.