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Finding the Fourth Proportional to 210.40, 315.50 and 133.35

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Solution

The fourth proportional to 210.40, 315.50 and 133.35 is: 199.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.40 : 315.50 = 133.35 : x
  2. Step 2: Convert to fraction form
    210.40/315.50 = 133.35/x
  3. Step 3: Cross multiply
    210.40x = 315.50 × 133.35
  4. Step 4: Simplify right side
    210.40x = 42,070.08
  5. Step 5: Solve for x
    x = 42,070.08/210.40
  6. Step 6: Final answer
    x = 199.96

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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.