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Finding the Fourth Proportional to 341.55, 470.38 and 319.59

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Solution

The fourth proportional to 341.55, 470.38 and 319.59 is: 440.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.55 : 470.38 = 319.59 : x
  2. Step 2: Convert to fraction form
    341.55/470.38 = 319.59/x
  3. Step 3: Cross multiply
    341.55x = 470.38 × 319.59
  4. Step 4: Simplify right side
    341.55x = 150,328.74
  5. Step 5: Solve for x
    x = 150,328.74/341.55
  6. Step 6: Final answer
    x = 440.14

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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.