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Finding the Fourth Proportional to 330.56, 492.93 and 307.47

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Solution

The fourth proportional to 330.56, 492.93 and 307.47 is: 458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.56 : 492.93 = 307.47 : x
  2. Step 2: Convert to fraction form
    330.56/492.93 = 307.47/x
  3. Step 3: Cross multiply
    330.56x = 492.93 × 307.47
  4. Step 4: Simplify right side
    330.56x = 151,559.65
  5. Step 5: Solve for x
    x = 151,559.65/330.56
  6. Step 6: Final answer
    x = 458.50

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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.