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Finding the Fourth Proportional to 291.81, 437.91 and 210.72

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Solution

The fourth proportional to 291.81, 437.91 and 210.72 is: 316.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.81 : 437.91 = 210.72 : x
  2. Step 2: Convert to fraction form
    291.81/437.91 = 210.72/x
  3. Step 3: Cross multiply
    291.81x = 437.91 × 210.72
  4. Step 4: Simplify right side
    291.81x = 92,276.40
  5. Step 5: Solve for x
    x = 92,276.40/291.81
  6. Step 6: Final answer
    x = 316.22

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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.