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Finding the Fourth Proportional to 342.96, 511.95 and 317.24

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Solution

The fourth proportional to 342.96, 511.95 and 317.24 is: 473.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.96 : 511.95 = 317.24 : x
  2. Step 2: Convert to fraction form
    342.96/511.95 = 317.24/x
  3. Step 3: Cross multiply
    342.96x = 511.95 × 317.24
  4. Step 4: Simplify right side
    342.96x = 162,412.30
  5. Step 5: Solve for x
    x = 162,412.30/342.96
  6. Step 6: Final answer
    x = 473.56

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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.