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Finding the Fourth Proportional to 350.91, 525.29 and 242.64

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Solution

The fourth proportional to 350.91, 525.29 and 242.64 is: 363.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.91 : 525.29 = 242.64 : x
  2. Step 2: Convert to fraction form
    350.91/525.29 = 242.64/x
  3. Step 3: Cross multiply
    350.91x = 525.29 × 242.64
  4. Step 4: Simplify right side
    350.91x = 127,455.15
  5. Step 5: Solve for x
    x = 127,455.15/350.91
  6. Step 6: Final answer
    x = 363.21

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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.