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Finding the Fourth Proportional to 342.61, 471.36 and 316.51

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Solution

The fourth proportional to 342.61, 471.36 and 316.51 is: 435.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.61 : 471.36 = 316.51 : x
  2. Step 2: Convert to fraction form
    342.61/471.36 = 316.51/x
  3. Step 3: Cross multiply
    342.61x = 471.36 × 316.51
  4. Step 4: Simplify right side
    342.61x = 149,190.15
  5. Step 5: Solve for x
    x = 149,190.15/342.61
  6. Step 6: Final answer
    x = 435.45

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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.