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Finding the Fourth Proportional to 296.19, 444.93 and 286.47

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Solution

The fourth proportional to 296.19, 444.93 and 286.47 is: 430.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.19 : 444.93 = 286.47 : x
  2. Step 2: Convert to fraction form
    296.19/444.93 = 286.47/x
  3. Step 3: Cross multiply
    296.19x = 444.93 × 286.47
  4. Step 4: Simplify right side
    296.19x = 127,459.10
  5. Step 5: Solve for x
    x = 127,459.10/296.19
  6. Step 6: Final answer
    x = 430.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.