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Finding the Fourth Proportional to 342.37, 511.07 and 317.62

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Solution

The fourth proportional to 342.37, 511.07 and 317.62 is: 474.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.37 : 511.07 = 317.62 : x
  2. Step 2: Convert to fraction form
    342.37/511.07 = 317.62/x
  3. Step 3: Cross multiply
    342.37x = 511.07 × 317.62
  4. Step 4: Simplify right side
    342.37x = 162,326.05
  5. Step 5: Solve for x
    x = 162,326.05/342.37
  6. Step 6: Final answer
    x = 474.12

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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.