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Finding the Fourth Proportional to 382.05, 526.75 and 312.04

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Solution

The fourth proportional to 382.05, 526.75 and 312.04 is: 430.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.05 : 526.75 = 312.04 : x
  2. Step 2: Convert to fraction form
    382.05/526.75 = 312.04/x
  3. Step 3: Cross multiply
    382.05x = 526.75 × 312.04
  4. Step 4: Simplify right side
    382.05x = 164,366.29
  5. Step 5: Solve for x
    x = 164,366.29/382.05
  6. Step 6: Final answer
    x = 430.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.