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Finding the Fourth Proportional to 341.36, 511.80 and 277.52

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Solution

The fourth proportional to 341.36, 511.80 and 277.52 is: 416.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.36 : 511.80 = 277.52 : x
  2. Step 2: Convert to fraction form
    341.36/511.80 = 277.52/x
  3. Step 3: Cross multiply
    341.36x = 511.80 × 277.52
  4. Step 4: Simplify right side
    341.36x = 142,034.74
  5. Step 5: Solve for x
    x = 142,034.74/341.36
  6. Step 6: Final answer
    x = 416.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.