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Finding the Fourth Proportional to 305.01, 419.99 and 242.64

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Solution

The fourth proportional to 305.01, 419.99 and 242.64 is: 334.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.01 : 419.99 = 242.64 : x
  2. Step 2: Convert to fraction form
    305.01/419.99 = 242.64/x
  3. Step 3: Cross multiply
    305.01x = 419.99 × 242.64
  4. Step 4: Simplify right side
    305.01x = 101,905.16
  5. Step 5: Solve for x
    x = 101,905.16/305.01
  6. Step 6: Final answer
    x = 334.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.