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Finding the Fourth Proportional to 207.13, 285.51 and 165.55

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Solution

The fourth proportional to 207.13, 285.51 and 165.55 is: 228.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.13 : 285.51 = 165.55 : x
  2. Step 2: Convert to fraction form
    207.13/285.51 = 165.55/x
  3. Step 3: Cross multiply
    207.13x = 285.51 × 165.55
  4. Step 4: Simplify right side
    207.13x = 47,266.18
  5. Step 5: Solve for x
    x = 47,266.18/207.13
  6. Step 6: Final answer
    x = 228.20

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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.