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Finding the Fourth Proportional to 389.98, 537.54 and 258.76

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Solution

The fourth proportional to 389.98, 537.54 and 258.76 is: 356.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.98 : 537.54 = 258.76 : x
  2. Step 2: Convert to fraction form
    389.98/537.54 = 258.76/x
  3. Step 3: Cross multiply
    389.98x = 537.54 × 258.76
  4. Step 4: Simplify right side
    389.98x = 139,093.55
  5. Step 5: Solve for x
    x = 139,093.55/389.98
  6. Step 6: Final answer
    x = 356.67

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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.