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Finding the Fourth Proportional to 304.24, 419.76 and 187.78

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Solution

The fourth proportional to 304.24, 419.76 and 187.78 is: 259.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.24 : 419.76 = 187.78 : x
  2. Step 2: Convert to fraction form
    304.24/419.76 = 187.78/x
  3. Step 3: Cross multiply
    304.24x = 419.76 × 187.78
  4. Step 4: Simplify right side
    304.24x = 78,822.53
  5. Step 5: Solve for x
    x = 78,822.53/304.24
  6. Step 6: Final answer
    x = 259.08

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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.