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Finding the Fourth Proportional to 291.64, 434.85 and 288.04

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Solution

The fourth proportional to 291.64, 434.85 and 288.04 is: 429.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.64 : 434.85 = 288.04 : x
  2. Step 2: Convert to fraction form
    291.64/434.85 = 288.04/x
  3. Step 3: Cross multiply
    291.64x = 434.85 × 288.04
  4. Step 4: Simplify right side
    291.64x = 125,254.74
  5. Step 5: Solve for x
    x = 125,254.74/291.64
  6. Step 6: Final answer
    x = 429.48

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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.