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Finding the Fourth Proportional to 58.52, 87.57 and 35.40

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Solution

The fourth proportional to 58.52, 87.57 and 35.40 is: 52.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.52 : 87.57 = 35.40 : x
  2. Step 2: Convert to fraction form
    58.52/87.57 = 35.40/x
  3. Step 3: Cross multiply
    58.52x = 87.57 × 35.40
  4. Step 4: Simplify right side
    58.52x = 3,099.98
  5. Step 5: Solve for x
    x = 3,099.98/58.52
  6. Step 6: Final answer
    x = 52.97

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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.