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Finding the Fourth Proportional to 296.28, 441.57 and 288.60

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Solution

The fourth proportional to 296.28, 441.57 and 288.60 is: 430.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.28 : 441.57 = 288.60 : x
  2. Step 2: Convert to fraction form
    296.28/441.57 = 288.60/x
  3. Step 3: Cross multiply
    296.28x = 441.57 × 288.60
  4. Step 4: Simplify right side
    296.28x = 127,437.10
  5. Step 5: Solve for x
    x = 127,437.10/296.28
  6. Step 6: Final answer
    x = 430.12

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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.