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Finding the Fourth Proportional to 407.15, 560.71 and 370.70

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Solution

The fourth proportional to 407.15, 560.71 and 370.70 is: 510.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.15 : 560.71 = 370.70 : x
  2. Step 2: Convert to fraction form
    407.15/560.71 = 370.70/x
  3. Step 3: Cross multiply
    407.15x = 560.71 × 370.70
  4. Step 4: Simplify right side
    407.15x = 207,855.20
  5. Step 5: Solve for x
    x = 207,855.20/407.15
  6. Step 6: Final answer
    x = 510.51

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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.