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Finding the Fourth Proportional to 468.60, 646.72 and 258.82

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Solution

The fourth proportional to 468.60, 646.72 and 258.82 is: 357.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.60 : 646.72 = 258.82 : x
  2. Step 2: Convert to fraction form
    468.60/646.72 = 258.82/x
  3. Step 3: Cross multiply
    468.60x = 646.72 × 258.82
  4. Step 4: Simplify right side
    468.60x = 167,384.07
  5. Step 5: Solve for x
    x = 167,384.07/468.60
  6. Step 6: Final answer
    x = 357.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.