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Finding the Fourth Proportional to 412.96, 570.15 and 307.93

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Solution

The fourth proportional to 412.96, 570.15 and 307.93 is: 425.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.96 : 570.15 = 307.93 : x
  2. Step 2: Convert to fraction form
    412.96/570.15 = 307.93/x
  3. Step 3: Cross multiply
    412.96x = 570.15 × 307.93
  4. Step 4: Simplify right side
    412.96x = 175,566.29
  5. Step 5: Solve for x
    x = 175,566.29/412.96
  6. Step 6: Final answer
    x = 425.14

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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.