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Finding the Fourth Proportional to 58.53, 80.74 and 49.31

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Solution

The fourth proportional to 58.53, 80.74 and 49.31 is: 68.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.53 : 80.74 = 49.31 : x
  2. Step 2: Convert to fraction form
    58.53/80.74 = 49.31/x
  3. Step 3: Cross multiply
    58.53x = 80.74 × 49.31
  4. Step 4: Simplify right side
    58.53x = 3,981.25
  5. Step 5: Solve for x
    x = 3,981.25/58.53
  6. Step 6: Final answer
    x = 68.02

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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.