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Finding the Fourth Proportional to 296.57, 407.58 and 278.21

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Solution

The fourth proportional to 296.57, 407.58 and 278.21 is: 382.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.57 : 407.58 = 278.21 : x
  2. Step 2: Convert to fraction form
    296.57/407.58 = 278.21/x
  3. Step 3: Cross multiply
    296.57x = 407.58 × 278.21
  4. Step 4: Simplify right side
    296.57x = 113,391.84
  5. Step 5: Solve for x
    x = 113,391.84/296.57
  6. Step 6: Final answer
    x = 382.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.