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Finding the Fourth Proportional to 315.64, 476.29 and 303

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Solution

The fourth proportional to 315.64, 476.29 and 303 is: 457.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.64 : 476.29 = 303 : x
  2. Step 2: Convert to fraction form
    315.64/476.29 = 303/x
  3. Step 3: Cross multiply
    315.64x = 476.29 × 303
  4. Step 4: Simplify right side
    315.64x = 144,314.36
  5. Step 5: Solve for x
    x = 144,314.36/315.64
  6. Step 6: Final answer
    x = 457.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.