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Finding the Fourth Proportional to 357.24, 489.03 and 346.17

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Solution

The fourth proportional to 357.24, 489.03 and 346.17 is: 473.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.24 : 489.03 = 346.17 : x
  2. Step 2: Convert to fraction form
    357.24/489.03 = 346.17/x
  3. Step 3: Cross multiply
    357.24x = 489.03 × 346.17
  4. Step 4: Simplify right side
    357.24x = 169,287.52
  5. Step 5: Solve for x
    x = 169,287.52/357.24
  6. Step 6: Final answer
    x = 473.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.