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Finding the Fourth Proportional to 469.65, 648.08 and 270.50

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Solution

The fourth proportional to 469.65, 648.08 and 270.50 is: 373.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.65 : 648.08 = 270.50 : x
  2. Step 2: Convert to fraction form
    469.65/648.08 = 270.50/x
  3. Step 3: Cross multiply
    469.65x = 648.08 × 270.50
  4. Step 4: Simplify right side
    469.65x = 175,307.23
  5. Step 5: Solve for x
    x = 175,307.23/469.65
  6. Step 6: Final answer
    x = 373.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.