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Finding the Fourth Proportional to 347.07, 520.61 and 90.57

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Solution

The fourth proportional to 347.07, 520.61 and 90.57 is: 135.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.07 : 520.61 = 90.57 : x
  2. Step 2: Convert to fraction form
    347.07/520.61 = 90.57/x
  3. Step 3: Cross multiply
    347.07x = 520.61 × 90.57
  4. Step 4: Simplify right side
    347.07x = 47,151.19
  5. Step 5: Solve for x
    x = 47,151.19/347.07
  6. Step 6: Final answer
    x = 135.86

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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.