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Finding the Fourth Proportional to 291.63, 435.17 and 284.68

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Solution

The fourth proportional to 291.63, 435.17 and 284.68 is: 424.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.63 : 435.17 = 284.68 : x
  2. Step 2: Convert to fraction form
    291.63/435.17 = 284.68/x
  3. Step 3: Cross multiply
    291.63x = 435.17 × 284.68
  4. Step 4: Simplify right side
    291.63x = 123,884.20
  5. Step 5: Solve for x
    x = 123,884.20/291.63
  6. Step 6: Final answer
    x = 424.80

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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.