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Finding the Fourth Proportional to 296.70, 443.14 and 253.16

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Solution

The fourth proportional to 296.70, 443.14 and 253.16 is: 378.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.70 : 443.14 = 253.16 : x
  2. Step 2: Convert to fraction form
    296.70/443.14 = 253.16/x
  3. Step 3: Cross multiply
    296.70x = 443.14 × 253.16
  4. Step 4: Simplify right side
    296.70x = 112,185.32
  5. Step 5: Solve for x
    x = 112,185.32/296.70
  6. Step 6: Final answer
    x = 378.11

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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.