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Finding the Fourth Proportional to 351.51, 526.70 and 214.14

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Solution

The fourth proportional to 351.51, 526.70 and 214.14 is: 320.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.51 : 526.70 = 214.14 : x
  2. Step 2: Convert to fraction form
    351.51/526.70 = 214.14/x
  3. Step 3: Cross multiply
    351.51x = 526.70 × 214.14
  4. Step 4: Simplify right side
    351.51x = 112,790.05
  5. Step 5: Solve for x
    x = 112,790.05/351.51
  6. Step 6: Final answer
    x = 320.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.