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Finding the Fourth Proportional to 58.69, 87.90 and 31.60

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Solution

The fourth proportional to 58.69, 87.90 and 31.60 is: 47.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.69 : 87.90 = 31.60 : x
  2. Step 2: Convert to fraction form
    58.69/87.90 = 31.60/x
  3. Step 3: Cross multiply
    58.69x = 87.90 × 31.60
  4. Step 4: Simplify right side
    58.69x = 2,777.64
  5. Step 5: Solve for x
    x = 2,777.64/58.69
  6. Step 6: Final answer
    x = 47.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.