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Finding the Fourth Proportional to 52.90, 72.88 and 42.50

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Solution

The fourth proportional to 52.90, 72.88 and 42.50 is: 58.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.90 : 72.88 = 42.50 : x
  2. Step 2: Convert to fraction form
    52.90/72.88 = 42.50/x
  3. Step 3: Cross multiply
    52.90x = 72.88 × 42.50
  4. Step 4: Simplify right side
    52.90x = 3,097.40
  5. Step 5: Solve for x
    x = 3,097.40/52.90
  6. Step 6: Final answer
    x = 58.55

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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.