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Finding the Fourth Proportional to 468.24, 646.16 and 258.40

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Solution

The fourth proportional to 468.24, 646.16 and 258.40 is: 356.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.24 : 646.16 = 258.40 : x
  2. Step 2: Convert to fraction form
    468.24/646.16 = 258.40/x
  3. Step 3: Cross multiply
    468.24x = 646.16 × 258.40
  4. Step 4: Simplify right side
    468.24x = 166,967.74
  5. Step 5: Solve for x
    x = 166,967.74/468.24
  6. Step 6: Final answer
    x = 356.59

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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.