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Finding the Fourth Proportional to 289.98, 432.63 and 286.92

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Solution

The fourth proportional to 289.98, 432.63 and 286.92 is: 428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.98 : 432.63 = 286.92 : x
  2. Step 2: Convert to fraction form
    289.98/432.63 = 286.92/x
  3. Step 3: Cross multiply
    289.98x = 432.63 × 286.92
  4. Step 4: Simplify right side
    289.98x = 124,130.20
  5. Step 5: Solve for x
    x = 124,130.20/289.98
  6. Step 6: Final answer
    x = 428.06

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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.