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Finding the Fourth Proportional to 990.10, 1,484.80 and 340.68

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Solution

The fourth proportional to 990.10, 1,484.80 and 340.68 is: 510.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.10 : 1,484.80 = 340.68 : x
  2. Step 2: Convert to fraction form
    990.10/1,484.80 = 340.68/x
  3. Step 3: Cross multiply
    990.10x = 1,484.80 × 340.68
  4. Step 4: Simplify right side
    990.10x = 505,841.66
  5. Step 5: Solve for x
    x = 505,841.66/990.10
  6. Step 6: Final answer
    x = 510.90

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Why These Related Problems?

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