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Finding the Fourth Proportional to 462.07, 638.36 and 357.58

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Solution

The fourth proportional to 462.07, 638.36 and 357.58 is: 494.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.07 : 638.36 = 357.58 : x
  2. Step 2: Convert to fraction form
    462.07/638.36 = 357.58/x
  3. Step 3: Cross multiply
    462.07x = 638.36 × 357.58
  4. Step 4: Simplify right side
    462.07x = 228,264.77
  5. Step 5: Solve for x
    x = 228,264.77/462.07
  6. Step 6: Final answer
    x = 494.00

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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.