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Finding the Fourth Proportional to 555.16, 832.20 and 349.08

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Solution

The fourth proportional to 555.16, 832.20 and 349.08 is: 523.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.16 : 832.20 = 349.08 : x
  2. Step 2: Convert to fraction form
    555.16/832.20 = 349.08/x
  3. Step 3: Cross multiply
    555.16x = 832.20 × 349.08
  4. Step 4: Simplify right side
    555.16x = 290,504.38
  5. Step 5: Solve for x
    x = 290,504.38/555.16
  6. Step 6: Final answer
    x = 523.28

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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.