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Finding the Fourth Proportional to 405.65, 560.58 and 307.24

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Solution

The fourth proportional to 405.65, 560.58 and 307.24 is: 424.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.65 : 560.58 = 307.24 : x
  2. Step 2: Convert to fraction form
    405.65/560.58 = 307.24/x
  3. Step 3: Cross multiply
    405.65x = 560.58 × 307.24
  4. Step 4: Simplify right side
    405.65x = 172,229.80
  5. Step 5: Solve for x
    x = 172,229.80/405.65
  6. Step 6: Final answer
    x = 424.58

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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.