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Finding the Fourth Proportional to 469.49, 703.58 and 219.02

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Solution

The fourth proportional to 469.49, 703.58 and 219.02 is: 328.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.49 : 703.58 = 219.02 : x
  2. Step 2: Convert to fraction form
    469.49/703.58 = 219.02/x
  3. Step 3: Cross multiply
    469.49x = 703.58 × 219.02
  4. Step 4: Simplify right side
    469.49x = 154,093.48
  5. Step 5: Solve for x
    x = 154,093.48/469.49
  6. Step 6: Final answer
    x = 328.22

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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.