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Finding the Fourth Proportional to 380.16, 567.70 and 298.08

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Solution

The fourth proportional to 380.16, 567.70 and 298.08 is: 445.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.16 : 567.70 = 298.08 : x
  2. Step 2: Convert to fraction form
    380.16/567.70 = 298.08/x
  3. Step 3: Cross multiply
    380.16x = 567.70 × 298.08
  4. Step 4: Simplify right side
    380.16x = 169,220.02
  5. Step 5: Solve for x
    x = 169,220.02/380.16
  6. Step 6: Final answer
    x = 445.13

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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.