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Finding the Fourth Proportional to 296.55, 442.62 and 289.26

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Solution

The fourth proportional to 296.55, 442.62 and 289.26 is: 431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.55 : 442.62 = 289.26 : x
  2. Step 2: Convert to fraction form
    296.55/442.62 = 289.26/x
  3. Step 3: Cross multiply
    296.55x = 442.62 × 289.26
  4. Step 4: Simplify right side
    296.55x = 128,032.26
  5. Step 5: Solve for x
    x = 128,032.26/296.55
  6. Step 6: Final answer
    x = 431.74

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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.