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Finding the Fourth Proportional to 342.30, 473.67 and 296.40

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Solution

The fourth proportional to 342.30, 473.67 and 296.40 is: 410.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.30 : 473.67 = 296.40 : x
  2. Step 2: Convert to fraction form
    342.30/473.67 = 296.40/x
  3. Step 3: Cross multiply
    342.30x = 473.67 × 296.40
  4. Step 4: Simplify right side
    342.30x = 140,395.79
  5. Step 5: Solve for x
    x = 140,395.79/342.30
  6. Step 6: Final answer
    x = 410.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.