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Finding the Fourth Proportional to 270.65, 407.95 and 247.56

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Solution

The fourth proportional to 270.65, 407.95 and 247.56 is: 373.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.65 : 407.95 = 247.56 : x
  2. Step 2: Convert to fraction form
    270.65/407.95 = 247.56/x
  3. Step 3: Cross multiply
    270.65x = 407.95 × 247.56
  4. Step 4: Simplify right side
    270.65x = 100,990.86
  5. Step 5: Solve for x
    x = 100,990.86/270.65
  6. Step 6: Final answer
    x = 373.15

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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.