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Finding the Fourth Proportional to 426, 587.88 and 242

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Solution

The fourth proportional to 426, 587.88 and 242 is: 333.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    426 : 587.88 = 242 : x
  2. Step 2: Convert to fraction form
    426/587.88 = 242/x
  3. Step 3: Cross multiply
    426x = 587.88 × 242
  4. Step 4: Simplify right side
    426x = 142,266.96
  5. Step 5: Solve for x
    x = 142,266.96/426
  6. Step 6: Final answer
    x = 333.96

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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.