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Finding the Fourth Proportional to 366.99, 549.36 and 257.01

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Solution

The fourth proportional to 366.99, 549.36 and 257.01 is: 384.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.99 : 549.36 = 257.01 : x
  2. Step 2: Convert to fraction form
    366.99/549.36 = 257.01/x
  3. Step 3: Cross multiply
    366.99x = 549.36 × 257.01
  4. Step 4: Simplify right side
    366.99x = 141,191.01
  5. Step 5: Solve for x
    x = 141,191.01/366.99
  6. Step 6: Final answer
    x = 384.73

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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.