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Finding the Fourth Proportional to 416.34, 624.45 and 253.98

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Solution

The fourth proportional to 416.34, 624.45 and 253.98 is: 380.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.34 : 624.45 = 253.98 : x
  2. Step 2: Convert to fraction form
    416.34/624.45 = 253.98/x
  3. Step 3: Cross multiply
    416.34x = 624.45 × 253.98
  4. Step 4: Simplify right side
    416.34x = 158,597.81
  5. Step 5: Solve for x
    x = 158,597.81/416.34
  6. Step 6: Final answer
    x = 380.93

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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.