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Finding the Fourth Proportional to 386.16, 578.64 and 241.76

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Solution

The fourth proportional to 386.16, 578.64 and 241.76 is: 362.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.16 : 578.64 = 241.76 : x
  2. Step 2: Convert to fraction form
    386.16/578.64 = 241.76/x
  3. Step 3: Cross multiply
    386.16x = 578.64 × 241.76
  4. Step 4: Simplify right side
    386.16x = 139,892.01
  5. Step 5: Solve for x
    x = 139,892.01/386.16
  6. Step 6: Final answer
    x = 362.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.