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Finding the Fourth Proportional to 52.63, 72.62 and 42.70

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Solution

The fourth proportional to 52.63, 72.62 and 42.70 is: 58.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.63 : 72.62 = 42.70 : x
  2. Step 2: Convert to fraction form
    52.63/72.62 = 42.70/x
  3. Step 3: Cross multiply
    52.63x = 72.62 × 42.70
  4. Step 4: Simplify right side
    52.63x = 3,100.87
  5. Step 5: Solve for x
    x = 3,100.87/52.63
  6. Step 6: Final answer
    x = 58.92

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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.