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Finding the Fourth Proportional to 342.23, 470.81 and 283.91

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Solution

The fourth proportional to 342.23, 470.81 and 283.91 is: 390.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.23 : 470.81 = 283.91 : x
  2. Step 2: Convert to fraction form
    342.23/470.81 = 283.91/x
  3. Step 3: Cross multiply
    342.23x = 470.81 × 283.91
  4. Step 4: Simplify right side
    342.23x = 133,666.02
  5. Step 5: Solve for x
    x = 133,666.02/342.23
  6. Step 6: Final answer
    x = 390.58

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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.