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Finding the Fourth Proportional to 233.01, 349.40 and 210.39

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Solution

The fourth proportional to 233.01, 349.40 and 210.39 is: 315.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.01 : 349.40 = 210.39 : x
  2. Step 2: Convert to fraction form
    233.01/349.40 = 210.39/x
  3. Step 3: Cross multiply
    233.01x = 349.40 × 210.39
  4. Step 4: Simplify right side
    233.01x = 73,509.21
  5. Step 5: Solve for x
    x = 73,509.21/233.01
  6. Step 6: Final answer
    x = 315.48

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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.