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Finding the Fourth Proportional to 353.17, 486.88 and 342.40

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Solution

The fourth proportional to 353.17, 486.88 and 342.40 is: 472.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.17 : 486.88 = 342.40 : x
  2. Step 2: Convert to fraction form
    353.17/486.88 = 342.40/x
  3. Step 3: Cross multiply
    353.17x = 486.88 × 342.40
  4. Step 4: Simplify right side
    353.17x = 166,707.71
  5. Step 5: Solve for x
    x = 166,707.71/353.17
  6. Step 6: Final answer
    x = 472.03

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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.