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Finding the Fourth Proportional to 454.11, 626.24 and 305.07

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Solution

The fourth proportional to 454.11, 626.24 and 305.07 is: 420.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.11 : 626.24 = 305.07 : x
  2. Step 2: Convert to fraction form
    454.11/626.24 = 305.07/x
  3. Step 3: Cross multiply
    454.11x = 626.24 × 305.07
  4. Step 4: Simplify right side
    454.11x = 191,045.51
  5. Step 5: Solve for x
    x = 191,045.51/454.11
  6. Step 6: Final answer
    x = 420.70

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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.