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Finding the Fourth Proportional to 52.32, 78.02 and 48.88

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Solution

The fourth proportional to 52.32, 78.02 and 48.88 is: 72.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.32 : 78.02 = 48.88 : x
  2. Step 2: Convert to fraction form
    52.32/78.02 = 48.88/x
  3. Step 3: Cross multiply
    52.32x = 78.02 × 48.88
  4. Step 4: Simplify right side
    52.32x = 3,813.62
  5. Step 5: Solve for x
    x = 3,813.62/52.32
  6. Step 6: Final answer
    x = 72.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.