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Finding the Fourth Proportional to 325.16, 485.41 and 313.76

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Solution

The fourth proportional to 325.16, 485.41 and 313.76 is: 468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.16 : 485.41 = 313.76 : x
  2. Step 2: Convert to fraction form
    325.16/485.41 = 313.76/x
  3. Step 3: Cross multiply
    325.16x = 485.41 × 313.76
  4. Step 4: Simplify right side
    325.16x = 152,302.24
  5. Step 5: Solve for x
    x = 152,302.24/325.16
  6. Step 6: Final answer
    x = 468.40

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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.