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Finding the Fourth Proportional to 349.72, 525.48 and 311.56

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Solution

The fourth proportional to 349.72, 525.48 and 311.56 is: 468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.72 : 525.48 = 311.56 : x
  2. Step 2: Convert to fraction form
    349.72/525.48 = 311.56/x
  3. Step 3: Cross multiply
    349.72x = 525.48 × 311.56
  4. Step 4: Simplify right side
    349.72x = 163,718.55
  5. Step 5: Solve for x
    x = 163,718.55/349.72
  6. Step 6: Final answer
    x = 468.14

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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.