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Finding the Fourth Proportional to 242.35, 361.66 and 216.40

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Solution

The fourth proportional to 242.35, 361.66 and 216.40 is: 322.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.35 : 361.66 = 216.40 : x
  2. Step 2: Convert to fraction form
    242.35/361.66 = 216.40/x
  3. Step 3: Cross multiply
    242.35x = 361.66 × 216.40
  4. Step 4: Simplify right side
    242.35x = 78,261.42
  5. Step 5: Solve for x
    x = 78,261.42/242.35
  6. Step 6: Final answer
    x = 322.93

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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.