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Finding the Fourth Proportional to 313.96, 468.65 and 288.28

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Solution

The fourth proportional to 313.96, 468.65 and 288.28 is: 430.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.96 : 468.65 = 288.28 : x
  2. Step 2: Convert to fraction form
    313.96/468.65 = 288.28/x
  3. Step 3: Cross multiply
    313.96x = 468.65 × 288.28
  4. Step 4: Simplify right side
    313.96x = 135,102.42
  5. Step 5: Solve for x
    x = 135,102.42/313.96
  6. Step 6: Final answer
    x = 430.32

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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.