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Finding the Fourth Proportional to 462.45, 692.75 and 242.74

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Solution

The fourth proportional to 462.45, 692.75 and 242.74 is: 363.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.45 : 692.75 = 242.74 : x
  2. Step 2: Convert to fraction form
    462.45/692.75 = 242.74/x
  3. Step 3: Cross multiply
    462.45x = 692.75 × 242.74
  4. Step 4: Simplify right side
    462.45x = 168,159.76
  5. Step 5: Solve for x
    x = 168,159.76/462.45
  6. Step 6: Final answer
    x = 363.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.