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Finding the Fourth Proportional to 206.13, 310.40 and 148.75

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Solution

The fourth proportional to 206.13, 310.40 and 148.75 is: 224.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.13 : 310.40 = 148.75 : x
  2. Step 2: Convert to fraction form
    206.13/310.40 = 148.75/x
  3. Step 3: Cross multiply
    206.13x = 310.40 × 148.75
  4. Step 4: Simplify right side
    206.13x = 46,173.62
  5. Step 5: Solve for x
    x = 46,173.62/206.13
  6. Step 6: Final answer
    x = 224.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.