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Finding the Fourth Proportional to 446.79, 666.96 and 355.35

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Solution

The fourth proportional to 446.79, 666.96 and 355.35 is: 530.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.79 : 666.96 = 355.35 : x
  2. Step 2: Convert to fraction form
    446.79/666.96 = 355.35/x
  3. Step 3: Cross multiply
    446.79x = 666.96 × 355.35
  4. Step 4: Simplify right side
    446.79x = 237,004.24
  5. Step 5: Solve for x
    x = 237,004.24/446.79
  6. Step 6: Final answer
    x = 530.46

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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.