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Finding the Fourth Proportional to 291.78, 435.33 and 283.01

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Solution

The fourth proportional to 291.78, 435.33 and 283.01 is: 422.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.78 : 435.33 = 283.01 : x
  2. Step 2: Convert to fraction form
    291.78/435.33 = 283.01/x
  3. Step 3: Cross multiply
    291.78x = 435.33 × 283.01
  4. Step 4: Simplify right side
    291.78x = 123,200.57
  5. Step 5: Solve for x
    x = 123,200.57/291.78
  6. Step 6: Final answer
    x = 422.24

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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.