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Finding the Fourth Proportional to 214.95, 320.73 and 210.63

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Solution

The fourth proportional to 214.95, 320.73 and 210.63 is: 314.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.95 : 320.73 = 210.63 : x
  2. Step 2: Convert to fraction form
    214.95/320.73 = 210.63/x
  3. Step 3: Cross multiply
    214.95x = 320.73 × 210.63
  4. Step 4: Simplify right side
    214.95x = 67,555.36
  5. Step 5: Solve for x
    x = 67,555.36/214.95
  6. Step 6: Final answer
    x = 314.28

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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.