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Finding the Fourth Proportional to 419.04, 628.50 and 175.54

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Solution

The fourth proportional to 419.04, 628.50 and 175.54 is: 263.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.04 : 628.50 = 175.54 : x
  2. Step 2: Convert to fraction form
    419.04/628.50 = 175.54/x
  3. Step 3: Cross multiply
    419.04x = 628.50 × 175.54
  4. Step 4: Simplify right side
    419.04x = 110,326.89
  5. Step 5: Solve for x
    x = 110,326.89/419.04
  6. Step 6: Final answer
    x = 263.28

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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.