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Finding the Fourth Proportional to 210.42, 317.46 and 200.34

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Solution

The fourth proportional to 210.42, 317.46 and 200.34 is: 302.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.42 : 317.46 = 200.34 : x
  2. Step 2: Convert to fraction form
    210.42/317.46 = 200.34/x
  3. Step 3: Cross multiply
    210.42x = 317.46 × 200.34
  4. Step 4: Simplify right side
    210.42x = 63,599.94
  5. Step 5: Solve for x
    x = 63,599.94/210.42
  6. Step 6: Final answer
    x = 302.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.