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Finding the Fourth Proportional to 386, 578.36 and 242

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Solution

The fourth proportional to 386, 578.36 and 242 is: 362.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    386 : 578.36 = 242 : x
  2. Step 2: Convert to fraction form
    386/578.36 = 242/x
  3. Step 3: Cross multiply
    386x = 578.36 × 242
  4. Step 4: Simplify right side
    386x = 139,963.12
  5. Step 5: Solve for x
    x = 139,963.12/386
  6. Step 6: Final answer
    x = 362.60

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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.