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Finding the Fourth Proportional to 342.58, 511.40 and 318.28

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Solution

The fourth proportional to 342.58, 511.40 and 318.28 is: 475.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.58 : 511.40 = 318.28 : x
  2. Step 2: Convert to fraction form
    342.58/511.40 = 318.28/x
  3. Step 3: Cross multiply
    342.58x = 511.40 × 318.28
  4. Step 4: Simplify right side
    342.58x = 162,768.39
  5. Step 5: Solve for x
    x = 162,768.39/342.58
  6. Step 6: Final answer
    x = 475.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.