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Finding the Fourth Proportional to 296.48, 446.93 and 276.65

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Solution

The fourth proportional to 296.48, 446.93 and 276.65 is: 417.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.48 : 446.93 = 276.65 : x
  2. Step 2: Convert to fraction form
    296.48/446.93 = 276.65/x
  3. Step 3: Cross multiply
    296.48x = 446.93 × 276.65
  4. Step 4: Simplify right side
    296.48x = 123,644.99
  5. Step 5: Solve for x
    x = 123,644.99/296.48
  6. Step 6: Final answer
    x = 417.05

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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.