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Finding the Fourth Proportional to 343.37, 473.90 and 270.24

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Solution

The fourth proportional to 343.37, 473.90 and 270.24 is: 372.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.37 : 473.90 = 270.24 : x
  2. Step 2: Convert to fraction form
    343.37/473.90 = 270.24/x
  3. Step 3: Cross multiply
    343.37x = 473.90 × 270.24
  4. Step 4: Simplify right side
    343.37x = 128,066.74
  5. Step 5: Solve for x
    x = 128,066.74/343.37
  6. Step 6: Final answer
    x = 372.98

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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.