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Finding the Fourth Proportional to 342.33, 473.10 and 259.41

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Solution

The fourth proportional to 342.33, 473.10 and 259.41 is: 358.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.33 : 473.10 = 259.41 : x
  2. Step 2: Convert to fraction form
    342.33/473.10 = 259.41/x
  3. Step 3: Cross multiply
    342.33x = 473.10 × 259.41
  4. Step 4: Simplify right side
    342.33x = 122,726.87
  5. Step 5: Solve for x
    x = 122,726.87/342.33
  6. Step 6: Final answer
    x = 358.50

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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.