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Finding the Fourth Proportional to 357.20, 488.98 and 346.16

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Solution

The fourth proportional to 357.20, 488.98 and 346.16 is: 473.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.20 : 488.98 = 346.16 : x
  2. Step 2: Convert to fraction form
    357.20/488.98 = 346.16/x
  3. Step 3: Cross multiply
    357.20x = 488.98 × 346.16
  4. Step 4: Simplify right side
    357.20x = 169,265.32
  5. Step 5: Solve for x
    x = 169,265.32/357.20
  6. Step 6: Final answer
    x = 473.87

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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.