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Finding the Fourth Proportional to 477.12, 714.60 and 260.16

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Solution

The fourth proportional to 477.12, 714.60 and 260.16 is: 389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.12 : 714.60 = 260.16 : x
  2. Step 2: Convert to fraction form
    477.12/714.60 = 260.16/x
  3. Step 3: Cross multiply
    477.12x = 714.60 × 260.16
  4. Step 4: Simplify right side
    477.12x = 185,910.34
  5. Step 5: Solve for x
    x = 185,910.34/477.12
  6. Step 6: Final answer
    x = 389.65

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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.