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Finding the Fourth Proportional to 469.04, 703.02 and 212

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Solution

The fourth proportional to 469.04, 703.02 and 212 is: 317.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.04 : 703.02 = 212 : x
  2. Step 2: Convert to fraction form
    469.04/703.02 = 212/x
  3. Step 3: Cross multiply
    469.04x = 703.02 × 212
  4. Step 4: Simplify right side
    469.04x = 149,040.24
  5. Step 5: Solve for x
    x = 149,040.24/469.04
  6. Step 6: Final answer
    x = 317.76

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