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Finding the Fourth Proportional to 296.21, 446.56 and 278.59

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Solution

The fourth proportional to 296.21, 446.56 and 278.59 is: 420.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.21 : 446.56 = 278.59 : x
  2. Step 2: Convert to fraction form
    296.21/446.56 = 278.59/x
  3. Step 3: Cross multiply
    296.21x = 446.56 × 278.59
  4. Step 4: Simplify right side
    296.21x = 124,407.74
  5. Step 5: Solve for x
    x = 124,407.74/296.21
  6. Step 6: Final answer
    x = 420.00

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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.