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Finding the Fourth Proportional to 454.81, 628.16 and 307.19

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Solution

The fourth proportional to 454.81, 628.16 and 307.19 is: 424.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.81 : 628.16 = 307.19 : x
  2. Step 2: Convert to fraction form
    454.81/628.16 = 307.19/x
  3. Step 3: Cross multiply
    454.81x = 628.16 × 307.19
  4. Step 4: Simplify right side
    454.81x = 192,964.47
  5. Step 5: Solve for x
    x = 192,964.47/454.81
  6. Step 6: Final answer
    x = 424.27

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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.