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Finding the Fourth Proportional to 428.98, 592.02 and 242.51

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Solution

The fourth proportional to 428.98, 592.02 and 242.51 is: 334.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.98 : 592.02 = 242.51 : x
  2. Step 2: Convert to fraction form
    428.98/592.02 = 242.51/x
  3. Step 3: Cross multiply
    428.98x = 592.02 × 242.51
  4. Step 4: Simplify right side
    428.98x = 143,570.77
  5. Step 5: Solve for x
    x = 143,570.77/428.98
  6. Step 6: Final answer
    x = 334.68

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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.