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Finding the Fourth Proportional to 253.47, 377.77 and 253.07

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Solution

The fourth proportional to 253.47, 377.77 and 253.07 is: 377.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.47 : 377.77 = 253.07 : x
  2. Step 2: Convert to fraction form
    253.47/377.77 = 253.07/x
  3. Step 3: Cross multiply
    253.47x = 377.77 × 253.07
  4. Step 4: Simplify right side
    253.47x = 95,599.73
  5. Step 5: Solve for x
    x = 95,599.73/253.47
  6. Step 6: Final answer
    x = 377.16

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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.