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Finding the Fourth Proportional to 214.07, 295.29 and 135.32

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Solution

The fourth proportional to 214.07, 295.29 and 135.32 is: 186.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.07 : 295.29 = 135.32 : x
  2. Step 2: Convert to fraction form
    214.07/295.29 = 135.32/x
  3. Step 3: Cross multiply
    214.07x = 295.29 × 135.32
  4. Step 4: Simplify right side
    214.07x = 39,957.17
  5. Step 5: Solve for x
    x = 39,957.17/214.07
  6. Step 6: Final answer
    x = 186.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.