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Finding the Fourth Proportional to 72, 99.31 and 52.30

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Solution

The fourth proportional to 72, 99.31 and 52.30 is: 72.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72 : 99.31 = 52.30 : x
  2. Step 2: Convert to fraction form
    72/99.31 = 52.30/x
  3. Step 3: Cross multiply
    72x = 99.31 × 52.30
  4. Step 4: Simplify right side
    72x = 5,193.45
  5. Step 5: Solve for x
    x = 5,193.45/72
  6. Step 6: Final answer
    x = 72.13

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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.