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Finding the Fourth Proportional to 450.24, 621.16 and 275.48

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Solution

The fourth proportional to 450.24, 621.16 and 275.48 is: 380.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.24 : 621.16 = 275.48 : x
  2. Step 2: Convert to fraction form
    450.24/621.16 = 275.48/x
  3. Step 3: Cross multiply
    450.24x = 621.16 × 275.48
  4. Step 4: Simplify right side
    450.24x = 171,117.16
  5. Step 5: Solve for x
    x = 171,117.16/450.24
  6. Step 6: Final answer
    x = 380.06

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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.