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Finding the Fourth Proportional to 207.07, 310.56 and 70.11

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Solution

The fourth proportional to 207.07, 310.56 and 70.11 is: 105.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.07 : 310.56 = 70.11 : x
  2. Step 2: Convert to fraction form
    207.07/310.56 = 70.11/x
  3. Step 3: Cross multiply
    207.07x = 310.56 × 70.11
  4. Step 4: Simplify right side
    207.07x = 21,773.10
  5. Step 5: Solve for x
    x = 21,773.10/207.07
  6. Step 6: Final answer
    x = 105.15

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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.