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Finding the Fourth Proportional to 278.48, 419.40 and 248.32

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Solution

The fourth proportional to 278.48, 419.40 and 248.32 is: 373.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.48 : 419.40 = 248.32 : x
  2. Step 2: Convert to fraction form
    278.48/419.40 = 248.32/x
  3. Step 3: Cross multiply
    278.48x = 419.40 × 248.32
  4. Step 4: Simplify right side
    278.48x = 104,145.41
  5. Step 5: Solve for x
    x = 104,145.41/278.48
  6. Step 6: Final answer
    x = 373.98

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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.