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Finding the Fourth Proportional to 289.84, 432.56 and 287.95

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Solution

The fourth proportional to 289.84, 432.56 and 287.95 is: 429.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.84 : 432.56 = 287.95 : x
  2. Step 2: Convert to fraction form
    289.84/432.56 = 287.95/x
  3. Step 3: Cross multiply
    289.84x = 432.56 × 287.95
  4. Step 4: Simplify right side
    289.84x = 124,555.65
  5. Step 5: Solve for x
    x = 124,555.65/289.84
  6. Step 6: Final answer
    x = 429.74

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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.