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Finding the Fourth Proportional to 387.16, 578.35 and 380.68

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Solution

The fourth proportional to 387.16, 578.35 and 380.68 is: 568.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.16 : 578.35 = 380.68 : x
  2. Step 2: Convert to fraction form
    387.16/578.35 = 380.68/x
  3. Step 3: Cross multiply
    387.16x = 578.35 × 380.68
  4. Step 4: Simplify right side
    387.16x = 220,166.28
  5. Step 5: Solve for x
    x = 220,166.28/387.16
  6. Step 6: Final answer
    x = 568.67

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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.