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Finding the Fourth Proportional to 455.19, 681.11 and 315.68

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Solution

The fourth proportional to 455.19, 681.11 and 315.68 is: 472.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.19 : 681.11 = 315.68 : x
  2. Step 2: Convert to fraction form
    455.19/681.11 = 315.68/x
  3. Step 3: Cross multiply
    455.19x = 681.11 × 315.68
  4. Step 4: Simplify right side
    455.19x = 215,009.00
  5. Step 5: Solve for x
    x = 215,009.00/455.19
  6. Step 6: Final answer
    x = 472.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.