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Finding the Fourth Proportional to 342.32, 473.03 and 259.29

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Solution

The fourth proportional to 342.32, 473.03 and 259.29 is: 358.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.32 : 473.03 = 259.29 : x
  2. Step 2: Convert to fraction form
    342.32/473.03 = 259.29/x
  3. Step 3: Cross multiply
    342.32x = 473.03 × 259.29
  4. Step 4: Simplify right side
    342.32x = 122,650.65
  5. Step 5: Solve for x
    x = 122,650.65/342.32
  6. Step 6: Final answer
    x = 358.30

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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.