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Finding the Fourth Proportional to 52.43, 78.51 and 30.72

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Solution

The fourth proportional to 52.43, 78.51 and 30.72 is: 46.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.43 : 78.51 = 30.72 : x
  2. Step 2: Convert to fraction form
    52.43/78.51 = 30.72/x
  3. Step 3: Cross multiply
    52.43x = 78.51 × 30.72
  4. Step 4: Simplify right side
    52.43x = 2,411.43
  5. Step 5: Solve for x
    x = 2,411.43/52.43
  6. Step 6: Final answer
    x = 46.00

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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.