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Finding the Fourth Proportional to 820.16, 1,230.72 and 358.16

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Solution

The fourth proportional to 820.16, 1,230.72 and 358.16 is: 537.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.16 : 1,230.72 = 358.16 : x
  2. Step 2: Convert to fraction form
    820.16/1,230.72 = 358.16/x
  3. Step 3: Cross multiply
    820.16x = 1,230.72 × 358.16
  4. Step 4: Simplify right side
    820.16x = 440,794.68
  5. Step 5: Solve for x
    x = 440,794.68/820.16
  6. Step 6: Final answer
    x = 537.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.