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Finding the Fourth Proportional to 423.86, 585.06 and 284.10

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Solution

The fourth proportional to 423.86, 585.06 and 284.10 is: 392.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.86 : 585.06 = 284.10 : x
  2. Step 2: Convert to fraction form
    423.86/585.06 = 284.10/x
  3. Step 3: Cross multiply
    423.86x = 585.06 × 284.10
  4. Step 4: Simplify right side
    423.86x = 166,215.55
  5. Step 5: Solve for x
    x = 166,215.55/423.86
  6. Step 6: Final answer
    x = 392.15

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Why These Related Problems?

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