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Finding the Fourth Proportional to 446.17, 615.09 and 384.65

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Solution

The fourth proportional to 446.17, 615.09 and 384.65 is: 530.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.17 : 615.09 = 384.65 : x
  2. Step 2: Convert to fraction form
    446.17/615.09 = 384.65/x
  3. Step 3: Cross multiply
    446.17x = 615.09 × 384.65
  4. Step 4: Simplify right side
    446.17x = 236,594.37
  5. Step 5: Solve for x
    x = 236,594.37/446.17
  6. Step 6: Final answer
    x = 530.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.