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Finding the Fourth Proportional to 340.66, 470.75 and 278.47

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Solution

The fourth proportional to 340.66, 470.75 and 278.47 is: 384.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.66 : 470.75 = 278.47 : x
  2. Step 2: Convert to fraction form
    340.66/470.75 = 278.47/x
  3. Step 3: Cross multiply
    340.66x = 470.75 × 278.47
  4. Step 4: Simplify right side
    340.66x = 131,088.75
  5. Step 5: Solve for x
    x = 131,088.75/340.66
  6. Step 6: Final answer
    x = 384.81

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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.