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Finding the Fourth Proportional to 210.05, 315.16 and 101.93

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Solution

The fourth proportional to 210.05, 315.16 and 101.93 is: 152.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.05 : 315.16 = 101.93 : x
  2. Step 2: Convert to fraction form
    210.05/315.16 = 101.93/x
  3. Step 3: Cross multiply
    210.05x = 315.16 × 101.93
  4. Step 4: Simplify right side
    210.05x = 32,124.18
  5. Step 5: Solve for x
    x = 32,124.18/210.05
  6. Step 6: Final answer
    x = 152.94

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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.