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Finding the Fourth Proportional to 370.23, 557.51 and 268.23

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Solution

The fourth proportional to 370.23, 557.51 and 268.23 is: 403.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.23 : 557.51 = 268.23 : x
  2. Step 2: Convert to fraction form
    370.23/557.51 = 268.23/x
  3. Step 3: Cross multiply
    370.23x = 557.51 × 268.23
  4. Step 4: Simplify right side
    370.23x = 149,539.57
  5. Step 5: Solve for x
    x = 149,539.57/370.23
  6. Step 6: Final answer
    x = 403.91

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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.