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Finding the Fourth Proportional to 304.83, 455.13 and 266.22

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Solution

The fourth proportional to 304.83, 455.13 and 266.22 is: 397.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.83 : 455.13 = 266.22 : x
  2. Step 2: Convert to fraction form
    304.83/455.13 = 266.22/x
  3. Step 3: Cross multiply
    304.83x = 455.13 × 266.22
  4. Step 4: Simplify right side
    304.83x = 121,164.71
  5. Step 5: Solve for x
    x = 121,164.71/304.83
  6. Step 6: Final answer
    x = 397.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.