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Finding the Fourth Proportional to 214.77, 319.59 and 203.34

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Solution

The fourth proportional to 214.77, 319.59 and 203.34 is: 302.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.77 : 319.59 = 203.34 : x
  2. Step 2: Convert to fraction form
    214.77/319.59 = 203.34/x
  3. Step 3: Cross multiply
    214.77x = 319.59 × 203.34
  4. Step 4: Simplify right side
    214.77x = 64,985.43
  5. Step 5: Solve for x
    x = 64,985.43/214.77
  6. Step 6: Final answer
    x = 302.58

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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.