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Finding the Fourth Proportional to 348.99, 523.51 and 117.91

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Solution

The fourth proportional to 348.99, 523.51 and 117.91 is: 176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.99 : 523.51 = 117.91 : x
  2. Step 2: Convert to fraction form
    348.99/523.51 = 117.91/x
  3. Step 3: Cross multiply
    348.99x = 523.51 × 117.91
  4. Step 4: Simplify right side
    348.99x = 61,725.14
  5. Step 5: Solve for x
    x = 61,725.14/348.99
  6. Step 6: Final answer
    x = 176.87

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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.