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Finding the Fourth Proportional to 332.37, 498.22 and 210.40

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Solution

The fourth proportional to 332.37, 498.22 and 210.40 is: 315.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.37 : 498.22 = 210.40 : x
  2. Step 2: Convert to fraction form
    332.37/498.22 = 210.40/x
  3. Step 3: Cross multiply
    332.37x = 498.22 × 210.40
  4. Step 4: Simplify right side
    332.37x = 104,823.72
  5. Step 5: Solve for x
    x = 104,823.72/332.37
  6. Step 6: Final answer
    x = 315.38

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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.