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Finding the Fourth Proportional to 332.10, 497.34 and 258.30

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Solution

The fourth proportional to 332.10, 497.34 and 258.30 is: 386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.10 : 497.34 = 258.30 : x
  2. Step 2: Convert to fraction form
    332.10/497.34 = 258.30/x
  3. Step 3: Cross multiply
    332.10x = 497.34 × 258.30
  4. Step 4: Simplify right side
    332.10x = 128,462.92
  5. Step 5: Solve for x
    x = 128,462.92/332.10
  6. Step 6: Final answer
    x = 386.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.