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Finding the Fourth Proportional to 296.64, 442.80 and 253.44

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Solution

The fourth proportional to 296.64, 442.80 and 253.44 is: 378.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.64 : 442.80 = 253.44 : x
  2. Step 2: Convert to fraction form
    296.64/442.80 = 253.44/x
  3. Step 3: Cross multiply
    296.64x = 442.80 × 253.44
  4. Step 4: Simplify right side
    296.64x = 112,223.23
  5. Step 5: Solve for x
    x = 112,223.23/296.64
  6. Step 6: Final answer
    x = 378.31

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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.