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Finding the Fourth Proportional to 555.50, 832.98 and 230.78

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Solution

The fourth proportional to 555.50, 832.98 and 230.78 is: 346.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.50 : 832.98 = 230.78 : x
  2. Step 2: Convert to fraction form
    555.50/832.98 = 230.78/x
  3. Step 3: Cross multiply
    555.50x = 832.98 × 230.78
  4. Step 4: Simplify right side
    555.50x = 192,235.12
  5. Step 5: Solve for x
    x = 192,235.12/555.50
  6. Step 6: Final answer
    x = 346.06

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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.