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Finding the Fourth Proportional to 701.02, 1,051.53 and 214.08

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Solution

The fourth proportional to 701.02, 1,051.53 and 214.08 is: 321.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.02 : 1,051.53 = 214.08 : x
  2. Step 2: Convert to fraction form
    701.02/1,051.53 = 214.08/x
  3. Step 3: Cross multiply
    701.02x = 1,051.53 × 214.08
  4. Step 4: Simplify right side
    701.02x = 225,106.80
  5. Step 5: Solve for x
    x = 225,106.80/701.02
  6. Step 6: Final answer
    x = 321.11

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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.