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Finding the Fourth Proportional to 325.30, 483.76 and 315.04

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Solution

The fourth proportional to 325.30, 483.76 and 315.04 is: 468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.30 : 483.76 = 315.04 : x
  2. Step 2: Convert to fraction form
    325.30/483.76 = 315.04/x
  3. Step 3: Cross multiply
    325.30x = 483.76 × 315.04
  4. Step 4: Simplify right side
    325.30x = 152,402.18
  5. Step 5: Solve for x
    x = 152,402.18/325.30
  6. Step 6: Final answer
    x = 468.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.