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Finding the Fourth Proportional to 341.42, 471.07 and 313.78

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Solution

The fourth proportional to 341.42, 471.07 and 313.78 is: 432.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.42 : 471.07 = 313.78 : x
  2. Step 2: Convert to fraction form
    341.42/471.07 = 313.78/x
  3. Step 3: Cross multiply
    341.42x = 471.07 × 313.78
  4. Step 4: Simplify right side
    341.42x = 147,812.34
  5. Step 5: Solve for x
    x = 147,812.34/341.42
  6. Step 6: Final answer
    x = 432.93

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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.