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Finding the Fourth Proportional to 343.38, 473.60 and 259.65

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Solution

The fourth proportional to 343.38, 473.60 and 259.65 is: 358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.38 : 473.60 = 259.65 : x
  2. Step 2: Convert to fraction form
    343.38/473.60 = 259.65/x
  3. Step 3: Cross multiply
    343.38x = 473.60 × 259.65
  4. Step 4: Simplify right side
    343.38x = 122,970.24
  5. Step 5: Solve for x
    x = 122,970.24/343.38
  6. Step 6: Final answer
    x = 358.12

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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.