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Finding the Fourth Proportional to 384.72, 577.23 and 282.52

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Solution

The fourth proportional to 384.72, 577.23 and 282.52 is: 423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.72 : 577.23 = 282.52 : x
  2. Step 2: Convert to fraction form
    384.72/577.23 = 282.52/x
  3. Step 3: Cross multiply
    384.72x = 577.23 × 282.52
  4. Step 4: Simplify right side
    384.72x = 163,079.02
  5. Step 5: Solve for x
    x = 163,079.02/384.72
  6. Step 6: Final answer
    x = 423.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.