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Finding the Fourth Proportional to 314.64, 468.90 and 302.48

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Solution

The fourth proportional to 314.64, 468.90 and 302.48 is: 450.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.64 : 468.90 = 302.48 : x
  2. Step 2: Convert to fraction form
    314.64/468.90 = 302.48/x
  3. Step 3: Cross multiply
    314.64x = 468.90 × 302.48
  4. Step 4: Simplify right side
    314.64x = 141,832.87
  5. Step 5: Solve for x
    x = 141,832.87/314.64
  6. Step 6: Final answer
    x = 450.78

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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.