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Finding the Fourth Proportional to 403.42, 556.76 and 237.70

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Solution

The fourth proportional to 403.42, 556.76 and 237.70 is: 328.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.42 : 556.76 = 237.70 : x
  2. Step 2: Convert to fraction form
    403.42/556.76 = 237.70/x
  3. Step 3: Cross multiply
    403.42x = 556.76 × 237.70
  4. Step 4: Simplify right side
    403.42x = 132,341.85
  5. Step 5: Solve for x
    x = 132,341.85/403.42
  6. Step 6: Final answer
    x = 328.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.