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Finding the Fourth Proportional to 253.20, 377.34 and 247.74

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Solution

The fourth proportional to 253.20, 377.34 and 247.74 is: 369.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.20 : 377.34 = 247.74 : x
  2. Step 2: Convert to fraction form
    253.20/377.34 = 247.74/x
  3. Step 3: Cross multiply
    253.20x = 377.34 × 247.74
  4. Step 4: Simplify right side
    253.20x = 93,482.21
  5. Step 5: Solve for x
    x = 93,482.21/253.20
  6. Step 6: Final answer
    x = 369.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.