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Finding the Fourth Proportional to 467.93, 646.08 and 358.12

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Solution

The fourth proportional to 467.93, 646.08 and 358.12 is: 494.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.93 : 646.08 = 358.12 : x
  2. Step 2: Convert to fraction form
    467.93/646.08 = 358.12/x
  3. Step 3: Cross multiply
    467.93x = 646.08 × 358.12
  4. Step 4: Simplify right side
    467.93x = 231,373.63
  5. Step 5: Solve for x
    x = 231,373.63/467.93
  6. Step 6: Final answer
    x = 494.47

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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.