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Finding the Fourth Proportional to 207.55, 286.59 and 207.10

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Solution

The fourth proportional to 207.55, 286.59 and 207.10 is: 285.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.55 : 286.59 = 207.10 : x
  2. Step 2: Convert to fraction form
    207.55/286.59 = 207.10/x
  3. Step 3: Cross multiply
    207.55x = 286.59 × 207.10
  4. Step 4: Simplify right side
    207.55x = 59,352.79
  5. Step 5: Solve for x
    x = 59,352.79/207.55
  6. Step 6: Final answer
    x = 285.97

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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.