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Finding the Fourth Proportional to 293.76, 442.80 and 278.08

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Solution

The fourth proportional to 293.76, 442.80 and 278.08 is: 419.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.76 : 442.80 = 278.08 : x
  2. Step 2: Convert to fraction form
    293.76/442.80 = 278.08/x
  3. Step 3: Cross multiply
    293.76x = 442.80 × 278.08
  4. Step 4: Simplify right side
    293.76x = 123,133.82
  5. Step 5: Solve for x
    x = 123,133.82/293.76
  6. Step 6: Final answer
    x = 419.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.