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Finding the Fourth Proportional to 452.13, 678.19 and 144.01

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Solution

The fourth proportional to 452.13, 678.19 and 144.01 is: 216.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.13 : 678.19 = 144.01 : x
  2. Step 2: Convert to fraction form
    452.13/678.19 = 144.01/x
  3. Step 3: Cross multiply
    452.13x = 678.19 × 144.01
  4. Step 4: Simplify right side
    452.13x = 97,666.14
  5. Step 5: Solve for x
    x = 97,666.14/452.13
  6. Step 6: Final answer
    x = 216.01

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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.