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Finding the Fourth Proportional to 352.06, 525.61 and 291.31

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Solution

The fourth proportional to 352.06, 525.61 and 291.31 is: 434.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.06 : 525.61 = 291.31 : x
  2. Step 2: Convert to fraction form
    352.06/525.61 = 291.31/x
  3. Step 3: Cross multiply
    352.06x = 525.61 × 291.31
  4. Step 4: Simplify right side
    352.06x = 153,115.45
  5. Step 5: Solve for x
    x = 153,115.45/352.06
  6. Step 6: Final answer
    x = 434.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.