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Finding the Fourth Proportional to 342.24, 470.88 and 313.44

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Solution

The fourth proportional to 342.24, 470.88 and 313.44 is: 431.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.24 : 470.88 = 313.44 : x
  2. Step 2: Convert to fraction form
    342.24/470.88 = 313.44/x
  3. Step 3: Cross multiply
    342.24x = 470.88 × 313.44
  4. Step 4: Simplify right side
    342.24x = 147,592.63
  5. Step 5: Solve for x
    x = 147,592.63/342.24
  6. Step 6: Final answer
    x = 431.25

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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.