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Finding the Fourth Proportional to 556.20, 833.10 and 299.40

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Solution

The fourth proportional to 556.20, 833.10 and 299.40 is: 448.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.20 : 833.10 = 299.40 : x
  2. Step 2: Convert to fraction form
    556.20/833.10 = 299.40/x
  3. Step 3: Cross multiply
    556.20x = 833.10 × 299.40
  4. Step 4: Simplify right side
    556.20x = 249,430.14
  5. Step 5: Solve for x
    x = 249,430.14/556.20
  6. Step 6: Final answer
    x = 448.45

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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.