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Finding the Fourth Proportional to 210.63, 314.40 and 195.20

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Solution

The fourth proportional to 210.63, 314.40 and 195.20 is: 291.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.63 : 314.40 = 195.20 : x
  2. Step 2: Convert to fraction form
    210.63/314.40 = 195.20/x
  3. Step 3: Cross multiply
    210.63x = 314.40 × 195.20
  4. Step 4: Simplify right side
    210.63x = 61,369.31
  5. Step 5: Solve for x
    x = 61,369.31/210.63
  6. Step 6: Final answer
    x = 291.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.