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Finding the Fourth Proportional to 58.65, 80.93 and 34.10

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Solution

The fourth proportional to 58.65, 80.93 and 34.10 is: 47.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.65 : 80.93 = 34.10 : x
  2. Step 2: Convert to fraction form
    58.65/80.93 = 34.10/x
  3. Step 3: Cross multiply
    58.65x = 80.93 × 34.10
  4. Step 4: Simplify right side
    58.65x = 2,759.14
  5. Step 5: Solve for x
    x = 2,759.14/58.65
  6. Step 6: Final answer
    x = 47.05

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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.