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Finding the Fourth Proportional to 657.19, 985.47 and 246.06

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Solution

The fourth proportional to 657.19, 985.47 and 246.06 is: 368.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.19 : 985.47 = 246.06 : x
  2. Step 2: Convert to fraction form
    657.19/985.47 = 246.06/x
  3. Step 3: Cross multiply
    657.19x = 985.47 × 246.06
  4. Step 4: Simplify right side
    657.19x = 242,486.60
  5. Step 5: Solve for x
    x = 242,486.60/657.19
  6. Step 6: Final answer
    x = 368.98

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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.