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Finding the Fourth Proportional to 342.78, 511.67 and 317.40

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Solution

The fourth proportional to 342.78, 511.67 and 317.40 is: 473.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.78 : 511.67 = 317.40 : x
  2. Step 2: Convert to fraction form
    342.78/511.67 = 317.40/x
  3. Step 3: Cross multiply
    342.78x = 511.67 × 317.40
  4. Step 4: Simplify right side
    342.78x = 162,402.93
  5. Step 5: Solve for x
    x = 162,402.93/342.78
  6. Step 6: Final answer
    x = 473.79

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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.