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Finding the Fourth Proportional to 291.32, 437.08 and 188.86

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Solution

The fourth proportional to 291.32, 437.08 and 188.86 is: 283.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.32 : 437.08 = 188.86 : x
  2. Step 2: Convert to fraction form
    291.32/437.08 = 188.86/x
  3. Step 3: Cross multiply
    291.32x = 437.08 × 188.86
  4. Step 4: Simplify right side
    291.32x = 82,546.93
  5. Step 5: Solve for x
    x = 82,546.93/291.32
  6. Step 6: Final answer
    x = 283.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.