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Finding the Fourth Proportional to 58.05, 86.97 and 31.02

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Solution

The fourth proportional to 58.05, 86.97 and 31.02 is: 46.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.05 : 86.97 = 31.02 : x
  2. Step 2: Convert to fraction form
    58.05/86.97 = 31.02/x
  3. Step 3: Cross multiply
    58.05x = 86.97 × 31.02
  4. Step 4: Simplify right side
    58.05x = 2,697.81
  5. Step 5: Solve for x
    x = 2,697.81/58.05
  6. Step 6: Final answer
    x = 46.47

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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.