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Finding the Fourth Proportional to 480.10, 719.90 and 155.42

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Solution

The fourth proportional to 480.10, 719.90 and 155.42 is: 233.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.10 : 719.90 = 155.42 : x
  2. Step 2: Convert to fraction form
    480.10/719.90 = 155.42/x
  3. Step 3: Cross multiply
    480.10x = 719.90 × 155.42
  4. Step 4: Simplify right side
    480.10x = 111,886.08
  5. Step 5: Solve for x
    x = 111,886.08/480.10
  6. Step 6: Final answer
    x = 233.05

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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.