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Finding the Fourth Proportional to 342.65, 473.46 and 269.55

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Solution

The fourth proportional to 342.65, 473.46 and 269.55 is: 372.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.65 : 473.46 = 269.55 : x
  2. Step 2: Convert to fraction form
    342.65/473.46 = 269.55/x
  3. Step 3: Cross multiply
    342.65x = 473.46 × 269.55
  4. Step 4: Simplify right side
    342.65x = 127,621.14
  5. Step 5: Solve for x
    x = 127,621.14/342.65
  6. Step 6: Final answer
    x = 372.45

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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.