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Finding the Fourth Proportional to 291.64, 436.86 and 210.64

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Solution

The fourth proportional to 291.64, 436.86 and 210.64 is: 315.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.64 : 436.86 = 210.64 : x
  2. Step 2: Convert to fraction form
    291.64/436.86 = 210.64/x
  3. Step 3: Cross multiply
    291.64x = 436.86 × 210.64
  4. Step 4: Simplify right side
    291.64x = 92,020.19
  5. Step 5: Solve for x
    x = 92,020.19/291.64
  6. Step 6: Final answer
    x = 315.53

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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.