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Finding the Fourth Proportional to 357.13, 535.47 and 220.24

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Solution

The fourth proportional to 357.13, 535.47 and 220.24 is: 330.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.13 : 535.47 = 220.24 : x
  2. Step 2: Convert to fraction form
    357.13/535.47 = 220.24/x
  3. Step 3: Cross multiply
    357.13x = 535.47 × 220.24
  4. Step 4: Simplify right side
    357.13x = 117,931.91
  5. Step 5: Solve for x
    x = 117,931.91/357.13
  6. Step 6: Final answer
    x = 330.22

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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.