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Finding the Fourth Proportional to 342.50, 472.02 and 316.36

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Solution

The fourth proportional to 342.50, 472.02 and 316.36 is: 435.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.50 : 472.02 = 316.36 : x
  2. Step 2: Convert to fraction form
    342.50/472.02 = 316.36/x
  3. Step 3: Cross multiply
    342.50x = 472.02 × 316.36
  4. Step 4: Simplify right side
    342.50x = 149,328.25
  5. Step 5: Solve for x
    x = 149,328.25/342.50
  6. Step 6: Final answer
    x = 435.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.