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Finding the Fourth Proportional to 348.61, 523.03 and 117.52

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Solution

The fourth proportional to 348.61, 523.03 and 117.52 is: 176.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.61 : 523.03 = 117.52 : x
  2. Step 2: Convert to fraction form
    348.61/523.03 = 117.52/x
  3. Step 3: Cross multiply
    348.61x = 523.03 × 117.52
  4. Step 4: Simplify right side
    348.61x = 61,466.49
  5. Step 5: Solve for x
    x = 61,466.49/348.61
  6. Step 6: Final answer
    x = 176.32

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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.