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Finding the Fourth Proportional to 257.98, 384.93 and 245.97

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Solution

The fourth proportional to 257.98, 384.93 and 245.97 is: 367.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.98 : 384.93 = 245.97 : x
  2. Step 2: Convert to fraction form
    257.98/384.93 = 245.97/x
  3. Step 3: Cross multiply
    257.98x = 384.93 × 245.97
  4. Step 4: Simplify right side
    257.98x = 94,681.23
  5. Step 5: Solve for x
    x = 94,681.23/257.98
  6. Step 6: Final answer
    x = 367.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.