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Finding the Fourth Proportional to 374.16, 560.76 and 209.40

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Solution

The fourth proportional to 374.16, 560.76 and 209.40 is: 313.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.16 : 560.76 = 209.40 : x
  2. Step 2: Convert to fraction form
    374.16/560.76 = 209.40/x
  3. Step 3: Cross multiply
    374.16x = 560.76 × 209.40
  4. Step 4: Simplify right side
    374.16x = 117,423.14
  5. Step 5: Solve for x
    x = 117,423.14/374.16
  6. Step 6: Final answer
    x = 313.83

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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.