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Finding the Fourth Proportional to 52.91, 79.32 and 30.10

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Solution

The fourth proportional to 52.91, 79.32 and 30.10 is: 45.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.91 : 79.32 = 30.10 : x
  2. Step 2: Convert to fraction form
    52.91/79.32 = 30.10/x
  3. Step 3: Cross multiply
    52.91x = 79.32 × 30.10
  4. Step 4: Simplify right side
    52.91x = 2,387.14
  5. Step 5: Solve for x
    x = 2,387.14/52.91
  6. Step 6: Final answer
    x = 45.12

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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.