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Finding the Fourth Proportional to 901.88, 1,352.20 and 353.92

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Solution

The fourth proportional to 901.88, 1,352.20 and 353.92 is: 530.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.88 : 1,352.20 = 353.92 : x
  2. Step 2: Convert to fraction form
    901.88/1,352.20 = 353.92/x
  3. Step 3: Cross multiply
    901.88x = 1,352.20 × 353.92
  4. Step 4: Simplify right side
    901.88x = 478,570.62
  5. Step 5: Solve for x
    x = 478,570.62/901.88
  6. Step 6: Final answer
    x = 530.64

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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.