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Finding the Fourth Proportional to 373.64, 560.50 and 211.64

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Solution

The fourth proportional to 373.64, 560.50 and 211.64 is: 317.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.64 : 560.50 = 211.64 : x
  2. Step 2: Convert to fraction form
    373.64/560.50 = 211.64/x
  3. Step 3: Cross multiply
    373.64x = 560.50 × 211.64
  4. Step 4: Simplify right side
    373.64x = 118,624.22
  5. Step 5: Solve for x
    x = 118,624.22/373.64
  6. Step 6: Final answer
    x = 317.48

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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.