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Finding the Fourth Proportional to 355.10, 530.01 and 314.55

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Solution

The fourth proportional to 355.10, 530.01 and 314.55 is: 469.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.10 : 530.01 = 314.55 : x
  2. Step 2: Convert to fraction form
    355.10/530.01 = 314.55/x
  3. Step 3: Cross multiply
    355.10x = 530.01 × 314.55
  4. Step 4: Simplify right side
    355.10x = 166,714.65
  5. Step 5: Solve for x
    x = 166,714.65/355.10
  6. Step 6: Final answer
    x = 469.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.