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Finding the Fourth Proportional to 468.66, 646.74 and 258.83

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Solution

The fourth proportional to 468.66, 646.74 and 258.83 is: 357.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.66 : 646.74 = 258.83 : x
  2. Step 2: Convert to fraction form
    468.66/646.74 = 258.83/x
  3. Step 3: Cross multiply
    468.66x = 646.74 × 258.83
  4. Step 4: Simplify right side
    468.66x = 167,395.71
  5. Step 5: Solve for x
    x = 167,395.71/468.66
  6. Step 6: Final answer
    x = 357.18

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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.